{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p align=\"center\">\n",
    "    <img src=\"https://github.com/GeostatsGuy/GeostatsPy/blob/master/TCG_color_logo.png?raw=true\" width=\"220\" height=\"240\" />\n",
    "\n",
    "</p>\n",
    "\n",
    "## Subsurface Data Analytics \n",
    "\n",
    "### Bayesian Linear Regression for Subsurface Data Analytics in Python \n",
    "\n",
    "\n",
    "#### Michael Pyrcz, Associate Professor, University of Texas at Austin \n",
    "\n",
    "##### [Twitter](https://twitter.com/geostatsguy) | [GitHub](https://github.com/GeostatsGuy) | [Website](http://michaelpyrcz.com) | [GoogleScholar](https://scholar.google.com/citations?user=QVZ20eQAAAAJ&hl=en&oi=ao) | [Book](https://www.amazon.com/Geostatistical-Reservoir-Modeling-Michael-Pyrcz/dp/0199731446) | [YouTube](https://www.youtube.com/channel/UCLqEr-xV-ceHdXXXrTId5ig)  | [LinkedIn](https://www.linkedin.com/in/michael-pyrcz-61a648a1)\n",
    "\n",
    "#### Rahmat Ashari, Graduate Research Assistant, University of Texas at Austin\n",
    "\n",
    "##### Assistance with bug fixes and code updates, check out Rahmat on [LinkedIn](https://www.linkedin.com/in/rahmatashari/)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "### PGE 383 Exercise: Bayesian Linear Regression for Subsurface Modeling in Python \n",
    "\n",
    "Here's a simple workflow, demonstration of Bayesian linear regression for subsurface modeling workflows. This should help you get started with building subsurface models with data analytics and machine learning. Here's some basic details about Bayesian linear regression. \n",
    "\n",
    "\n",
    "#### Bayesian Updating\n",
    "\n",
    "The prediction for Bayesian linear regression is distributed:\n",
    "\n",
    "\\begin{equation}\n",
    "y \\sim N(\\beta^{T}X, \\sigma^{2} I)\n",
    "\\end{equation}\n",
    "\n",
    "We estimate the model parameter distributions through Bayesian updating for infering the model parameters from a prior and likelihood from training data.\n",
    "\n",
    "\\begin{equation}\n",
    "p(\\beta | y, X) = \\frac{p(y,X| \\beta) p(\\beta)}{p(y,X)}\n",
    "\\end{equation}\n",
    "\n",
    "In general for continuous features, we must use a sampling method, such as Markov chain Monte Carlo to sample the posterior.\n",
    "\n",
    "\n",
    "#### Workflow Goals\n",
    "\n",
    "Learn the basics of isotonic regression in Python for analysis, modeling and prediction of porosity from density. This includes:\n",
    "\n",
    "* Basic Python workflows and data preparation\n",
    "\n",
    "* Training / fitting a ridge regression model\n",
    "\n",
    "* Checking the model and learning about the impact of hyperparameters\n",
    "\n",
    "#### Objective \n",
    "\n",
    "Content to support the PGE 383: Subsurface Machine Learning class.  \n",
    "\n",
    "#### Getting Started\n",
    "\n",
    "Here's the steps to get setup in Python with the GeostatsPy package:\n",
    "\n",
    "1. Install Anaconda 3 on your machine (https://www.anaconda.com/download/). \n",
    "2. From Anaconda Navigator (within Anaconda3 group), go to the environment tab, click on base (root) green arrow and open a terminal. \n",
    "3. In the terminal type: pip install geostatspy. \n",
    "4. Open Jupyter and in the top block get started by copy and pasting the code block below from this Jupyter Notebook to start using the geostatspy functionality. \n",
    "\n",
    "There are examples below with these functions. You can go here to see a list of the available functions, https://git.io/fh4eX, other example workflows and source code. \n",
    "\n",
    "#### Import Required Packages\n",
    "\n",
    "Let's import the GeostatsPy package."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os                                                   # to set current working directory \n",
    "import numpy as np                                          # arrays and matrix math\n",
    "import scipy.stats as st                                    # statistical methods\n",
    "import pandas as pd                                         # DataFrames\n",
    "import matplotlib.pyplot as plt                             # for plotting\n",
    "from sklearn.isotonic import IsotonicRegression\n",
    "from sklearn.model_selection import train_test_split        # train and test split\n",
    "from sklearn.metrics import explained_variance_score\n",
    "import seaborn as sns                                       # advanced plotting\n",
    "import sys                                                  # interactive with terminal window to install pymc3 package\n",
    "seed = 73073"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Install New Packages\n",
    "\n",
    "We may need to install a couple of packages that are not available in the standard Anaconda 3.7 build.\n",
    "\n",
    "* pymc3 - streamlines Markov chain Monte Carlo Sampling\n",
    "* arviz - exploratory analysis of Bayesian models\n",
    "* m2w64-toolchain - required by pymc3\n",
    "\n",
    "We require all of these to perform Monte Carlo Markov Chains (MCMC) sampling to solve Bayesian linear regression.\n",
    "\n",
    "* note this installation will likely take a couple of minutes, there will not be any print out until it completes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING (theano.tensor.blas): Using NumPy C-API based implementation for BLAS functions.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pymc3 version is 3.11.4\n",
      "theano version is 1.1.2\n",
      "arviz version is 0.11.2\n"
     ]
    }
   ],
   "source": [
    "install_pymc3 = False\n",
    "\n",
    "if install_pymc3 == True:\n",
    "    !conda install --yes --prefix {sys.prefix} pymc3\n",
    "    !conda install --yes --prefix {sys.prefix} m2w64-toolchain\n",
    "    !conda install --yes --prefix {sys.prefix} arviz\n",
    "    !conda install --yes --prefix {sys.prefix} libpython\n",
    "    \n",
    "#!pip install typing_extensions==3.10.0.2      # may need to use typing_extensions package < 4.0 if you get a Contextual Version Conflict\n",
    "    \n",
    "import pymc3 as pm\n",
    "import theano\n",
    "import arviz\n",
    "\n",
    "print('pymc3 version is ' + str(pm.__version__))\n",
    "print('theano version is ' + str(theano.__version__))\n",
    "print('arviz version is ' + str(arviz.__version__))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Set the working directory\n",
    "\n",
    "I always like to do this so I don't lose files and to simplify subsequent read and writes (avoid including the full address each time).  Also, in this case make sure to place the required (see below) data file in this working directory.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "#os.chdir(\"d:\\PGE383\")                                       # set the working directory"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Loading Data\n",
    "\n",
    "Let's load the provided dataset. 'GrainSize_por.csv' is available at https://github.com/GeostatsGuy/GeoDataSets. It is a comma delimited file with 20 grain size ($mm$) and porosity (as a percentage) measures from the subsurface. We load the data file with the pandas 'read_csv' function into a data frame we called 'df'.  We preview each with the head function from Pandas DataFrames."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Grainsize</th>\n",
       "      <th>Porosity</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2.689284</td>\n",
       "      <td>5.400000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>6.683638</td>\n",
       "      <td>10.647582</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>9.877106</td>\n",
       "      <td>7.926271</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>12.239344</td>\n",
       "      <td>11.278953</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>27.623312</td>\n",
       "      <td>10.508753</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Grainsize   Porosity\n",
       "0   2.689284   5.400000\n",
       "1   6.683638  10.647582\n",
       "2   9.877106   7.926271\n",
       "3  12.239344  11.278953\n",
       "4  27.623312  10.508753"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#df = pd.read_csv(\"GrainSize_Por.csv\")                    # read a .csv file in as a DataFrame\n",
    "df = pd.read_csv(\"https://raw.githubusercontent.com/GeostatsGuy/GeoDataSets/master/GrainSize_Por.csv\")\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Visualize the Data\n",
    "\n",
    "Looks like a reasonable dataset for a linear regression model. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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w/fr11Go1yuXyrPb5qEc9imXLlnHhhRfypje9iWc961m84Q1v4DWveQ1jY2MMDAxw2mmnbTD9yQ477ADANttsc//jief33HMP8MC71E5+npk885nP5Lzzzpu2tsyc9m63p59+OnvuuSdXXXUV9913HzvuuOMWtZMkSZLUOdVqlVKpRL1ep1KpUK/XKZVKVKvVXpc2LXtG27R/gMCcfIBr1qxhp5124oQTTuCf/umfuOKKK+4Pnrvvvjv1ep3Pfvazm73fX//61/cPrT3vvPN48pOfvMH6Jz7xiXz/+9/nhhtuAODOO+/kZz/72QZtqtUqu+666/29queee+7962677Tb22msvttlmGz7+8Y9z7733ArDzzjtzxx13bLSdJEmSpO4pl8sMDw9Tr9cZHx+nXq8zPDw86061brBntM3EBzgyMsL69esplUpb/AFeffXV/PM//zPbbLMNpVKJD37wg1Sr1fuHti5ZsoTHPe5xm73fAw44gHPOOYdXvepV7Lfffvzd3/3dBusXLVrE2WefzfHHH8/vf/97AN7xjnfwqEc9aoN2Z511Fq94xSvYaaed+PM///P7l7/mNa/h+c9/Pp/5zGd42tOedv97cNBBB7Hddttx8MEH87KXvWzadpIkSf2g0WhQq9WoVqv+naN5b3BwkKVLly6YczYm7uLaD4aGhnLyHJvXXXcdBxxwwGbtZ77/R2flypUcffTRrFixotelbJLZfAaSJEm9tnz5ckZHR2k2m/d3UgwODva6LGneiIhlmTk02+0dpjuFcrnM4sWL52UQlSRJUuctxDuTSguNYXQBWrJkyYLpFZUkSVqIFuKdSaWFxjAqSZIkTdKJG1tK2tBWEUb76brYhcb3XpIkLUQL8c6k0kLT93fT3XHHHbn11lvZbbfdpp1TU52Rmdx6663OPSpJkhakhXZnUmmh6VgYjYgB4GPAQ4H7gDMy870R8S7gucDdwC+Al2dmbYrtVwJ3APcC98z2Lk377LMPq1atYt26dbN6HdoyO+64I/vss0+vy5AkSZqVcrlsCJU6pJM9o/cAp2TmFRGxM7AsIi4GLgbelJn3RMR/A28C3jjNPp6WmbdsSRGlUol99913S3YhSZIkSZpjHbtmNDNvyswrisd3ANcBizPzosy8p2h2GWC3mSRJkiRtZbpyA6OIWAI8FvjRpFWvAL46zWYJXBQRyyLipBn2fVJEjEXEmENxJUmSJGlh6HgYjYgK8DngdZl5e9vyf6U1lPfcaTY9LDMPBY4ChiPiqVM1yswzMnMoM4cWLVo0x9VLkiRJkjqho2E0Ikq0gui5mfn5tuUnAkcDL8lp5v7IzDXF77XAF4DHd7JWSZIkSVL3dCyMRmselY8C12Xmu9uWH0nrhkXHZOad02xbLm56RESUgWcBKzpVqyRJkiSpuzrZM3oY8FLg6RFxZfHzbOADwM7AxcWyDwFExN4RcWGx7Z7A9yLiKuDHwP9l5tc6WKskSZIkqYs6NrVLZn4PiClWXTjFsolhuc8uHt8IHNyp2iRJkiRJvdWVu+lKkiRJktTOMCpJkiRJ6jrDqCRJkiSp6wyjkiRJkqSuM4xKkiRJkrrOMCpJkiRJ6jrDqCRJkiSp6wyjkiRJkqSuM4xKkiRJkrrOMCpJkiRJ6jrDqCRJkiSp6wyjkiRJkqSuM4xKkiRJkrrOMCpJkiRJ6jrDqCRJkiSp6wyjkiRJkqSuM4xKkiRJkrrOMCpJkiRJ6jrDqCRJkiSp6wyjkiRJkqSuM4xKkiRJkrrOMCpJkiRpXms0GqxevZpGo9HrUjSHtut1AZIkSZI0neXLlzM6Okqz2aRUKjE8PMzg4GCvy9IcsGdUkiRJ0rzUaDQYHR2lUqkwMDBApVJhZGTEHtI+YRiVJEmSNC/VajWazSaVSgWASqVCs9mkVqv1tjDNCcOoJEmSpHmpWq1SKpWo1+sA1Ot1SqUS1Wq1t4VpThhGJUmSJM1L5XKZ4eFh6vU64+Pj1Ot1hoeHKZfLvS5NcyAyszM7jhgAPgY8FLgPOCMz3xsRDwHOB5YAK4EXZeb6KbY/EngvsC3wkcx858aOOTQ0lGNjY3P2GiRJkiT1XqPRoFarUa1WDaLzSEQsy8yh2W7fyZ7Re4BTMvMA4InAcEQ8GjgV+GZm7gd8s3i+gYjYFhgBjgIeDRxfbCtJkiRpK1Mul1m8eLFBtM90LIxm5k2ZeUXx+A7gOmAxcCxwTtHsHOAvptj88cANmXljZt4NfKrYTpIkSZLUB7pyzWhELAEeC/wI2DMzb4JWYAX2mGKTxcB42/NVxTJJkiRJUh/oeBiNiArwOeB1mXn7pm42xbIpL26NiJMiYiwixtatWzfbMiVJkiRJXdTRMBoRJVpB9NzM/Hyx+OaI2KtYvxewdopNVwEDbc/3AdZMdYzMPCMzhzJzaNGiRXNXvCRJkiSpYzoWRiMigI8C12Xmu9tWXQCcWDw+EfjSFJtfDuwXEftGxPbAccV2kiRJ2so1Gg1Wr15No9HodSmStsB2Hdz3YcBLgasj4spi2b8A7wQ+HRF/A/waeCFAROxNawqXZ2fmPRFxMvB1WlO7nJmZ13SwVkmSJC0Ay5cvZ3R0lGazSalUYnh4mMHBwV6XJWkWOjbPaC84z6gkSVL/ajQanHLKKVQqFSqVCvV6nXq9ztKlS53yQ+qB+TzPqCRJkjRnarUazWaTSqUCQKVSodlsUqvVeluYpFkxjEqSJGlBqFarlEol6vU6APV6nVKpRLVa7W1hkmbFMCpJkqQFoVwuMzw8TL1eZ3x8nHq9zvDwsEN0pQXKa0YlSZK0oDQaDWq1GtVq1SAq9dCWXjPaybvpSpIkSXOuXC4bQqU+4DBdSZIkSVLXGUYlSZIkSV1nGJUkSZIkdZ1hVJIkSZLUdYZRSZIkSVLXGUYlSZIkSV1nGJUkSZIkdZ1hVJIkSZLUdYZRSZIkSVLXGUYlSZIkSV1nGJUkSZIkdZ1hVJIkSZLUdYZRSZIkSVLXGUYlSZIkSV1nGJUkSZIkdZ1hVJIkSZLUdYZRSZIkSVLXGUYlSZIkSV1nGJUkSZIkdZ1hVJIkSZLUdYZRSZIkSVLXGUYlSZIkSV23Xad2HBFnAkcDazPzwGLZ+cD+RZMqUMvMQ6bYdiVwB3AvcE9mDnWqTkmSJElS93UsjAJnAx8APjaxIDNfPPE4IpYCt82w/dMy85aOVSdJkqSOaTQa1Go1qtUq5XK51+VImoc6FkYz85KIWDLVuogI4EXA0zt1fEmSJPXG8uXLGR0dpdlsUiqVGB4eZnBwsNdlSZpnenXN6FOAmzPz59OsT+CiiFgWESd1sS5JkiRtgUajwejoKJVKhYGBASqVCiMjIzQajV6XJmme6VUYPR44b4b1h2XmocBRwHBEPHW6hhFxUkSMRcTYunXr5rpOSZIkbYZarUaz2aRSqQBQqVRoNpvUarXeFiZp3ul6GI2I7YDnAedP1yYz1xS/1wJfAB4/Q9szMnMoM4cWLVo01+VKkiRpM1SrVUqlEvV6HYB6vU6pVKJarfa2MEnzTi96Rv8M+GlmrppqZUSUI2LnicfAs4AVXaxPkiRJs1QulxkeHqZerzM+Pk69Xmd4eNibGEl6gE5O7XIecASwe0SsAt6SmR8FjmPSEN2I2Bv4SGY+G9gT+ELrHkdsB3wyM7/WqTolSZI0twYHB1m6dKl305U0o8jMXtcwZ4aGhnJsbKzXZUiSJElS34uIZZk5NNvte3UDI0mSJEnSVswwKkmFRqPB6tWrnX5AkiSpCzp2zagkLSRO0C4tXI1Gw2sTJWkBMoxK2uq1T9BeqVSo1+uMjIywdOlS/7DtEMOD5opfJEnSwmUYlbTVm2qC9vXr11Or1QxKHWB40FzxiyRJWti8ZlTSVm++TtDej9ewtoeHgYEBKpUKIyMjffUa1T1TfZHUbDap1Wq9LUyStEnsGZW01ZuYoH1kZIT169ff31vXy56Vfu09tBdac6n9i6SJntH58EWSJGnTGEYlifk1QXs/Dz00PGguzccvkiRJm84wKkmFcrk8L/6I7efeQ8OD5tp8+iJJkrR5DKOSNM/0e++h4UFzbb58kSRJ2jzewEiS5pmJ3sN6vc74+Dj1er3veg/L5TKLFy/uq9ckSZI2T2Rmr2uYM0NDQzk2NtbrMiRpTjgXpyRJms8iYllmDs12+xmH6UbEPsBxwFOAvYG7gBXA/wFfzcz7ZntgSdLMHHooSZL62bRhNCLOAhYDXwH+G1gL7Ag8CjgS+NeIODUzL+lGoZIkSZKk/jFTz+jSzFwxxfIVwOcjYnvgYZ0pS5IkSZLUz6a9gdFUQTQiHhkRg8X6uzPzhk4WJ0mSJEnqT5s8tUtE/AswCNwXEfdl5ks7V5YkSZIkqZ9N2zMaEX8fEdu2LTo4M4/PzJcAB3e+NEmSJElSv5ppntH1wNci4rnF84si4rsRcSnw9c6XJkmSJEnqVzNdM/oJ4LnAIRHxJWAMOAo4OjP/uUv1SZIkSZL60Ew9owCPBM4HXgWcDLwHeFCHa5IkST3WaDRYvXo1jUaj16VIkvrUTPOMnl2sfxDwi8x8ZUQ8FvhwRPw4M9/epRolSVIXLV++nNHRUZrNJqVSieHhYQYHB3tdliSpz8zUM/rYzDwhM58PPBMgM3+Smc8FlnelOkmS1FWNRoPR0VEqlQoDAwNUKhVGRkbsIZUkzbmZwujXihsW/RD4ZPuKzPxSZ8uSJEm9UKvVaDabVCoVACqVCs1mk1qt1tvCJEl9Z9phupn5xojYBbgvM+tdrEmSJPVItVqlVCpRr9epVCrU63VKpRLVarXXpUmS+sxM84yeANSnC6IR8ciIeHLHKpMkSV1XLpcZHh6mXq8zPj5OvV5neHiYcrnc69IkSX1m2p5RYDfgJxGxDFgGrAN2BP4IOBy4BTi14xVKkqSuGhwcZOnSpdRqNarVqkFUktQRMw3TfW9EfAB4OnAYcBBwF3Ad8NLM/HV3SpQkSd1WLpcNoZKkjpqpZ5TMvBe4uPjZLBFxJnA0sDYzDyyWnQa8klYvK8C/ZOaFU2x7JPBeYFvgI5n5zs09viRp69NoNOzNkyRpgZgxjG6hs4EPAB+btPz0zPyf6TaKiG2BEVrTyawCLo+ICzLz2k4VKqn3DBHaUs6NKUnSwtKxMJqZl0TEklls+njghsy8ESAiPgUcCxhGpT5liNCWap8bc+IOsCMjIyxdutQvNyRJmqdmmmcUuL+nci6dHBHLI+LMiHjwFOsXA+Ntz1cVy6ar76SIGIuIsXXr1k3XTNI81R4iBgYGqFQqjIyM0Gg0el2aFhDnxpQkaeHZaBgFboiId0XEo+fgeB8EHgkcAtwELJ2iTUyxLKfbYWaekZlDmTm0aNGiOShRUjcZIjQX2ufGBJwbU5KkBWBTwuhBwM+Aj0TEZUVP5C6zOVhm3pyZ92bmfcCHaQ3JnWwVMND2fB9gzWyOJ2n+M0RoLjg3piRJC09kTtvp+MDGEU8FzgOqwGeBt2fmDTO0XwJ8pe1uuntl5k3F49cDT8jM4yZtsx2t8PsMYDVwOfBXmXnNxuobGhrKsbGxTX49kuaHq6++mpGREa8Z1RbzRliSJHVPRCzLzKHZbr/RGxgV14w+B3g5sITW0NpzgacAFwKPmma784AjgN0jYhXwFuCIiDiE1rDblcCrirZ705rC5dmZeU9EnAx8ndbULmduShCVtHANDg6ydOlSQ4S2mHNjSpK0cGy0ZzQibgS+DXw0M38wad37MvO1Haxvs9gzKkmSJEnd0fGeUeCvM/N7kw56WGZ+fz4FUUmSJEnSwrEpNzB63xTL3j/XhUiSJEmSth7T9oxGxJOAPwUWRcQ/tq3ahda1nJIkSZIkzcpMw3S3BypFm53blt8OvKCTRUmSJEmS+tu0YTQzvwt8NyLOzsxfdbEmSZIkSVKfm2mY7nsy83XAByLiAbfczcxjOlmYJEmSJKl/zTRM9+PF7//pRiGSJEmSpK3HTMN0lxW/vzuxLCIeDAxk5vIu1CZJkiRJ6lMbndolIr4TEbtExEOAq4CzIuLdnS9NkiRJktSvNmWe0V0z83bgecBZmfknwJ91tixJkiRJUj/blDC6XUTsBbwI+EqH65EkSZIkbQU2JYy+Dfg68IvMvDwiHgH8vLNlSZIkSZL62Ux30wUgMz8DfKbt+Y3A8ztZlCRJkiSpv23KDYz2iYgvRMTaiLg5Ij4XEft0ozhJkiRJUn/alGG6ZwEXAHsDi4EvF8skSZIkSZqVTQmjizLzrMy8p/g5G1jU4bokSZIkSX1sU8LoLRFxQkRsW/ycANza6cIkSZIkSf1rU8LoK2hN6/Ib4CbgBcUySZIkSZJmZca76UbEtsB/ZuYxXapHkiRJkrQVmLFnNDPvBRZFxPZdqkeSJEmStBXY6DyjwErg+xFxAdCYWJiZ7+5UUZIkSZKk/rYpYXRN8bMNsHNny5EkSZIkbQ02GkYz860AEbFz62nWO16VJEmSJKmvbfRuuhFxYET8BFgBXBMRyyLiMZ0vTZIkSZLUrzZlapczgH/MzIdn5sOBU4APd7YsSZIkSVI/25QwWs7Mb088yczvAOWOVSRJkiRJ6nubcgOjGyPi34CPF89PAH7ZuZIkSZIkSf1uU3pGXwEsAj5f/OwOvHxjG0XEmRGxNiJWtC17V0T8NCKWR8QXIqI6zbYrI+LqiLgyIsY26ZVIkiRJkhaMacNoROwYEa8D3g5cAzwhMw/NzNdl5vpN2PfZwJGTll0MHJiZBwE/A940w/ZPy8xDMnNoE44lSdNqNBqsXr2aRqOx8caSJEnqipmG6Z4DNIFLgaOAA4DXbeqOM/OSiFgyadlFbU8vA16wqfuTpNlYvnw5o6OjNJtNSqUSw8PDDA4O9rosSZKkrd5Mw3QfnZknZOb/0gqNT53jY78C+Oo06xK4qJhG5qQ5Pq6krUSj0WB0dJRKpcLAwACVSoWRkRF7SCVJkuaBmcJoc+JBZt4zlweNiH8F7gHOnabJYZl5KK0e2eGImDYIR8RJETEWEWPr1q2byzIlLXC1Wo1ms0mlUgGgUqnQbDap1Wq9LUySJEkzhtGDI+L24ucO4KCJxxFx+2wPGBEnAkcDL8nMnKpNZq4pfq8FvgA8frr9ZeYZmTmUmUOLFi2abVmS+lC1WqVUKlGv1wGo1+uUSiWq1WpvC5MkSdL0YTQzt83MXYqfnTNzu7bHu8zmYBFxJPBG4JjMvHOaNuWI2HniMfAsYMVUbSVpJuVymeHhYer1OuPj49TrdYaHhymXnSpZkiSp12Kazskt33HEecARtKaCuRl4C6275+4A3Fo0uywzXx0RewMfycxnR8QjaPWGQusGS5/MzP/YlGMODQ3l2JgzwUjaUKPRoFarUa1WDaKSJElzJCKWbcnsJx0Lo71gGJUkSZKk7tjSMDrTNaOStKA4n6gkSdLCMdM8o5K0YDifqCRJ0sJiz6ikBc/5RCVJkhYew6ikBc/5RCVJkhYew6ikBc/5RCVJkhYew6ikBc/5RCVJkhYep3aR1DecT1SSJKl7tnRqF++mK6lvlMtlQ6gkSdIC4TBdSZIkSVLXGUbVNY1Gg9WrVzvdhiRJkiSH6ao7li9fzujoKM1mk1KpxPDwMIODg70uS5IkSVKP2DOqjms0GoyOjlKpVBgYGKBSqTAyMmIPqSRJkrQVM4yq42q1Gs1mk0qlAkClUqHZbFKr1XpbmCRJkqSeMYyq46rVKqVSiXq9DkC9XqdUKlGtVntbmCRJkqSeMYyq48rlMsPDw9TrdcbHx6nX6wwPDzsFhyRJkrQVi8zsdQ1zZmhoKMfGxnpdhqbRaDSo1WpUq1WDqCRJkrTARcSyzBya7fbeTVddUy6XDaGSJEmSAIfpSpIkSZJ6wDAqSZIkSeo6w+gC0mg0WL16tfNzqm95jkuSJG09vGZ0gVi+fDmjo6M0m01KpRLDw8MMDg72uixpzniOS5IkbV3sGV0AGo0Go6OjVCoVBgYGqFQqjIyM2HukBW+iJ3Tt2rWe45IkSVsZe0YXgFqtRrPZpFKpAFCpVFi/fj21Ws2702rBau8Jvfvuu6nX6zz0oQ8FPMclSZK2BvaMLgDVapVSqUS9XgegXq9TKpWoVqu9LUyapcm9/Q95yEO4/vrrWb9+PeA5LkmStDUwjC4A5XKZ4eFh6vU64+Pj1Ot1hoeH7THSgjW5t//BD34w+++/P7/97W89xyVJkrYSDtNdIAYHB1m6dCm1Wo1qteof6VrQ2nv7K5UK9XqdPffck7e97W00m03PcUmSpK2APaMLSLlcZvHixf6RrgVvut7+PfbYw3NckiRpKxGZ2ZkdR5wJHA2szcwDi2UPAc4HlgArgRdl5voptj0SeC+wLfCRzHznphxzaGgox8bG5qR+SZ3XaDTs7ZckSVqgImJZZg7NdvtO9oyeDRw5admpwDczcz/gm8XzDUTEtsAIcBTwaOD4iHh0B+uU1CP29kuSJG29OhZGM/MS4LeTFh8LnFM8Pgf4iyk2fTxwQ2bemJl3A58qtpMkSZIk9YluXzO6Z2beBFD83mOKNouB8bbnq4plkiRJkqQ+MR9vYBRTLJv2wtaIOCkixiJibN26dR0sS5IkSZI0V7odRm+OiL0Ait9rp2izChhoe74PsGa6HWbmGZk5lJlDixYtmtNiJUmSJEmd0e0wegFwYvH4ROBLU7S5HNgvIvaNiO2B44rtJEmSJEl9omNhNCLOA34I7B8RqyLib4B3As+MiJ8DzyyeExF7R8SFAJl5D3Ay8HXgOuDTmXlNp+qUJEmSJHXfdp3acWYeP82qZ0zRdg3w7LbnFwIXdqg0SZIkSVKPzccbGEmSJEmS+pxhVJIkSZLUdYZRSZIkSVLXGUYlSZIkSV1nGJUkSZIkdZ1hVJIkSZLUdYZRSZIkSVLXGUYlSZIkSV1nGJUkSZIkdZ1hVJIkSZLUdYZRSZIkSVLXGUYlSZIkSV1nGJUkSZIkdZ1hVJIkSZLUdYZRSZIkSVLXGUYlSZIkSV1nGJUkSZIkdZ1hVJIkSZLUdYZRSZIkSVLXGUYlSZIkSV1nGJUkSZIkdZ1hVJIkSZLUdYZRTavRaLB69WoajUavS5EkSZLUZ7brdQGan5YvX87o6CjNZpNSqcTw8DCDg4O9LkuSJElSn7BnVA/QaDQYHR2lUqkwMDBApVJhZGTEHlJJkiRJc8Ywqgeo1Wo0m00qlQoAlUqFZrNJrVbrbWGSJEmS+oZhVA9QrVYplUrU63UA6vU6pVKJarXa28IkSZIk9Q3DqB6gXC4zPDxMvV5nfHycer3O8PAw5XK516VJkiRJ6hORmd09YMT+wPltix4B/HtmvqetzRHAl4BfFos+n5lv29i+h4aGcmxsbM5q3do1Gg1qtRrVatUgKkmSJGkDEbEsM4dmu33X76abmdcDhwBExLbAauALUzS9NDOP7mJpmqRcLhtCJUmSJHVEr4fpPgP4RWb+qsd1SJIkSZK6qNdh9DjgvGnWPSkiroqIr0bEY6bbQUScFBFjETG2bt26zlQpSZIkSZpTPQujEbE9cAzwmSlWXwE8PDMPBt4PfHG6/WTmGZk5lJlDixYt6kitkiRJkqS51cue0aOAKzLz5skrMvP2zKwXjy8EShGxe7cLlCRJkiR1Ri/D6PFMM0Q3Ih4aEVE8fjytOm/tYm2SJEmSpA7q+t10ASJiJ+CZwKvalr0aIDM/BLwA+LuIuAe4Czguuz0HjSRJkiSpY3oSRjPzTmC3Scs+1Pb4A8AHul2XJEmSJKk7en03XUmSJEnSVsgwKkmSJEnqOsOoJEmSJKnrDKOSJEmSpK4zjEqSJEmSus4wKkmSJEnqOsOoJEmSJKnrDKOSJEmSpK4zjEqSJEmSus4wKkmSJEnqOsOoJEmSJKnrDKOSJEmSpK4zjEqSJEmSus4wKkmSJEnqOsOoJEmSJKnrDKOSJEmSpK4zjEqSJEmSus4wKkmSJEnqOsOoJEmSJKnrDKOSJEmSpK4zjEqSJEmSus4wKkmSJEnqOsPoJmg0GqxevZpGo9HrUiRJkiSpL2zX6wLmu+XLlzM6Okqz2aRUKjE8PMzg4GCvy5IkSZKkBc2e0Rk0Gg1GR0epVCoMDAxQqVQYGRmxh1SSJEmStpBhdAa1Wo1ms0mlUgGgUqnQbDap1Wq9LUySJEmSFjjD6Ayq1SqlUol6vQ5AvV6nVCpRrVZ7W5gkSZIkLXA9CaMRsTIiro6IKyNibIr1ERHvi4gbImJ5RBzaizrL5TLDw8PU63XGx8ep1+sMDw9TLpd7UY4kSZIk9Y1e3sDoaZl5yzTrjgL2K36eAHyw+N11g4ODLF26lFqtRrVaNYhKkiRJ0hyYr3fTPRb4WGYmcFlEVCNir8y8qRfFlMtlQ6gkSZIkzaFeXTOawEURsSwiTppi/WJgvO35qmKZJEmSJKkP9Kpn9LDMXBMRewAXR8RPM/OStvUxxTY51Y6KMHsSwMMe9rC5r1SSJEmSNOd60jOamWuK32uBLwCPn9RkFTDQ9nwfYM00+zojM4cyc2jRokWdKFeSJEmSNMe6HkYjohwRO088Bp4FrJjU7ALgr4u76j4RuK1X14tKkiRJkuZeL4bp7gl8ISImjv/JzPxaRLwaIDM/BFwIPBu4AbgTeHkP6pQkSZIkdUjXw2hm3ggcPMXyD7U9TmC4m3VJkiRJkrqnV3fTlSRJkiRtxQyjkiRJkqSui9aI2P4QEXcA1/e6DmkT7Q7c0usipM3gOauFxnNWC43nrBaa/TNz59lu3Kt5Rjvl+swc6nUR0qaIiDHPVy0knrNaaDxntdB4zmqhiYixLdneYbqSJEmSpK4zjEqSJEmSuq7fwugZvS5A2gyer1poPGe10HjOaqHxnNVCs0XnbF/dwEiSJEmStDD0W8+oJEmSJGkB6IswGhFHRsT1EXFDRJza63qkySJiICK+HRHXRcQ1EfEPxfKHRMTFEfHz4veDe12rNCEito2In0TEV4rnnq+atyKiGhGfjYifFv+tfZLnrOaziHh98TfBiog4LyJ29JzVfBIRZ0bE2ohY0bZs2nM0It5U5LHrI+LPN+UYCz6MRsS2wAhwFPBo4PiIeHRvq5Ie4B7glMw8AHgiMFycp6cC38zM/YBvFs+l+eIfgOvannu+aj57L/C1zPxj4GBa567nrOaliFgMvBYYyswDgW2B4/Cc1fxyNnDkpGVTnqPF37XHAY8pthktctqMFnwYBR4P3JCZN2bm3cCngGN7XJO0gcy8KTOvKB7fQeuPpMW0ztVzimbnAH/RkwKlSSJiH+A5wEfaFnu+al6KiF2ApwIfBcjMuzOzhues5rftgAdFxHbATsAaPGc1j2TmJcBvJy2e7hw9FvhUZv4+M38J3EArp82oH8LoYmC87fmqYpk0L0XEEuCxwI+APTPzJmgFVmCPHpYmtXsP8AbgvrZlnq+arx4BrAPOKoaWfyQiynjOap7KzNXA/wC/Bm4CbsvMi/Cc1fw33Tk6q0zWD2E0pljmLYI1L0VEBfgc8LrMvL3X9UhTiYijgbWZuazXtUibaDvgUOCDmflYoIHDGzWPFdfZHQvsC+wNlCPihN5WJW2RWWWyfgijq4CBtuf70BrmIM0rEVGiFUTPzczPF4tvjoi9ivV7AWt7VZ/U5jDgmIhYSevSh6dHxCfwfNX8tQpYlZk/Kp5/llY49ZzVfPVnwC8zc11mNoHPA3+K56zmv+nO0Vllsn4Io5cD+0XEvhGxPa0LZy/ocU3SBiIiaF3LdF1mvrtt1QXAicXjE4Evdbs2abLMfFNm7pOZS2j9N/VbmXkCnq+apzLzN8B4ROxfLHoGcC2es5q/fg08MSJ2Kv5GeAat+0l4zmq+m+4cvQA4LiJ2iIh9gf2AH29sZ5G58Ee0RsSzaV3ftC1wZmb+R28rkjYUEU8GLgWu5g/X4P0LretGPw08jNb/mF6YmZMvFJd6JiKOAP4pM4+OiN3wfNU8FRGH0Lrh1vbAjcDLaX3p7jmreSki3gq8mNYd938C/C1QwXNW80REnAccAewO3Ay8Bfgi05yjEfGvwCtondOvy8yvbvQY/RBGJUmSJEkLSz8M05UkSZIkLTCGUUmSJElS1xlGJUmSJEldZxiVJEmSJHWdYVSSJEmS1HWGUUmSJElS1xlGJUl9LyL2jIhPRsSNEbEsIn4YEX85i/38YDPbPzEifhQRV0bEdRFxWrH8mIg4dXOPP8X+94qIr2zpfqbY7/YRcUlEbDfX+5YkaYLzjEqS+lpEBPAD4JzM/FCx7OHAMZn5/kltt8vMe+bw2NcDL8rMqyJiW2D/zLx2Dvf/LuB7mfmludpn277fAtyQmefO9b4lSQJ7RiVJ/e/pwN0TQRQgM381EUQj4mUR8ZmI+DJwUURUIuKbEXFFRFwdEcdObBcR9eL3ERHxnYj4bET8NCLOLULvZHsANxXHvHciiBbH/EDx+Mq2n7si4vCIKEfEmRFxeUT8pL2GSZ4PfK1tn1+MiC9HxC8j4uSI+Mdi+8si4iFFu+9ExOlFz+d1EfG4iPh8RPw8It7Rtu8vAi+ZxfstSdImcfiNJKnfPQa4YiNtngQclJm/LYam/mVm3h4RuwOXRcQF+cChRI8t9r0G+D5wGPC9SW1OB66PiO/QCo3nZObv2htk5iEAEfFc4A20enHfCnwrM18REVXgxxHxjcxsTGwXEfsC6zPz9227O7Coa0fgBuCNmfnYiDgd+GvgPUW7uzPzqRHxD8CXgD8Bfgv8IiJOz8xbgRXA4zbyvkmSNGv2jEqStioRMRIRV0XE5W2LL87M3040Af4zIpYD3wAWA3tOsasfZ+aqzLwPuBJYMrlBZr4NGAIuAv6Kohdzipr2A94FvDgzm8CzgFMj4krgO7TC5cMmbbYXsG7Ssm9n5h2ZuQ64DfhysfzqSfVd0Lb8msy8qQi1NwIDRe33AndHxM5T1SxJ0payZ1SS1O+uoTWcFYDMHC56PMfa2jTaHr8EWAT8SWY2I2IlrTA4WXuP5L1M8//UzPwF8MGI+DCwLiJ2a18fEWXg08ArM3PNxGLg+Zl5/Qyv664p6mqv6b625/dNqu/3U7SZqt0OwAY9uZIkzRV7RiVJ/e5bwI4R8Xdty3aaof2uwNoiiD4NePhsDxwRz2m7lnQ/WqG1NqnZWcBZmXlp27KvA38/sW1EPHaK3f+MKXpj50oRmtcVPbWSJM05w6gkqa8V13r+BXB4cWOfHwPnAG+cZpNzgaGIGKPVS/rTLTj8S2ldM3ol8HHgJcXwV+D+u/q+AHhF202MhoC3AyVgeUSsKJ5Pfl0NWtd4/tEW1DeTpwEXdmjfkiQ5tYskSQtVMVfqn2Tmmzuw788Db9rIUGFJkmbNa0YlSVqgMvMLk69BnQsRsT3wRYOoJKmT7BmVJEmSJHWd14xKkiRJkrrOMCpJkiRJ6jrDqCRJkiSp6wyjkiRJkqSuM4xKkiRJkrru/wMFJcvLDXW0KAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_data = df.iloc[:,0]\n",
    "y_data = df.iloc[:,1]\n",
    "plt.subplot(111)\n",
    "plt.scatter(X_data, y_data, color='black', s = 20, alpha = 0.5, label='sample data')\n",
    "plt.title('Porosity from Grainsize with Training Data'); plt.xlabel('Grain Size (mm)'); plt.ylabel('Porosity (%)')\n",
    "plt.xlim(0,100)#; plt.ylim(0,1500000)\n",
    "plt.subplots_adjust(left=0.0, bottom=0.0, right=2.0, top=1.0, wspace=0.2, hspace=0.2)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Least Squares Linear Regression \n",
    "\n",
    "Let's calculate the ordinary least squares (OLS) linear regression model for comparison.\n",
    "\n",
    "* for a non-informative prior our Bayesian linear regression model parameters will be centered on the OLS solution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The model parameters are, slope (b1) = 0.16, and the intercept (b0) = 8.12\n"
     ]
    }
   ],
   "source": [
    "OLS_slope, OLS_intercept, r_value, p_value, std_err = st.linregress(X_data,y_data)\n",
    "\n",
    "print('The model parameters are, slope (b1) = ' + str(round(OLS_slope,2)) + ', and the intercept (b0) = ' + str(round(OLS_intercept,2)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplot(111)\n",
    "plt.plot(X_data, y_data, 'o', label='sample data', color = 'red', alpha = 0.2, markeredgecolor = 'black')\n",
    "plt.plot(X_data, OLS_intercept + OLS_slope*X_data, label='model', color = 'black')\n",
    "plt.title('Porosity vs Grain Size')\n",
    "plt.xlabel('Grain Size (mm)')\n",
    "plt.ylabel('Porosity (%)')\n",
    "plt.legend()\n",
    "plt.subplots_adjust(left=0.0, bottom=0.0, right=2.0, top=1.0, wspace=0.2, hspace=0.2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following code was based on the work of Will Koehrsen [blog post](https://towardsdatascience.com/introduction-to-bayesian-linear-regression-e66e60791ea7) and example workflow in [Jupyter Notebook](https://github.com/WillKoehrsen/Data-Analysis/blob/master/bayesian_lr/Bayesian%20Linear%20Regression%20Demonstration.ipynb).\n",
    "\n",
    "\n",
    "https://github.com/WillKoehrsen/Data-Analysis/blob/master/bayesian_lr/Bayesian%20Linear%20Regression%20Demonstration.ipynb\n",
    "\n",
    "#### Bayesian Linear Regression\n",
    "\n",
    "In the following code we take advantage of the pymc3 package's API to build a very readible and compact model.\n",
    "\n",
    "The parts include:\n",
    "\n",
    "* specify the prior models for $\\beta_0$, $\\beta_1$ and $\\sigma^2$.\n",
    "\n",
    "* specify the model estimates\n",
    "\n",
    "* define the distribution of the predictions and the observated predictor features\n",
    "\n",
    "* specify the specific form for the MCMC steps\n",
    "\n",
    "* conduct MCMC sampling\n",
    "\n",
    "Note the default MCMC method in pymc3 is the Hamiltonian Monte Carlo (HMC).\n",
    "\n",
    "* HMC reduces correlation between succesive samples by including proposals for moves to distant states, $L$\n",
    "* No U-Turn Sampler (NUTS) is an extension of HMC that auotmatically tunes L to avoid oscillation "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [sigma, slope, Intercept]\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "\n",
       "    <div>\n",
       "        <style>\n",
       "            /* Turns off some styling */\n",
       "            progress {\n",
       "                /* gets rid of default border in Firefox and Opera. */\n",
       "                border: none;\n",
       "                /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
       "                background-size: auto;\n",
       "            }\n",
       "            .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
       "                background: #F44336;\n",
       "            }\n",
       "        </style>\n",
       "      <progress value='4000' class='' max='4000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
       "      100.00% [4000/4000 00:07<00:00 Sampling 4 chains, 0 divergences]\n",
       "    </div>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 500 tune and 500 draw iterations (2_000 + 2_000 draws total) took 61 seconds.\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as linear_all_data:\n",
    "    # prior distributions, Naive - set to Gaussian with very large variance\n",
    "    intercept = pm.Normal('Intercept', mu = 0, sd = 10.0) # model B0 - Intercept Prior\n",
    "    slope = pm.Normal('slope', mu = 0, sd = 10.0)         # model B1 - Slope Prior \n",
    "    sigma = pm.HalfNormal('sigma', sd = 10.0)             # homoscedastic error in standard deviation\n",
    "    \n",
    "    # specify the model, linear regression\n",
    "    mean = intercept + slope * X_data                     # estimate of model\n",
    "    \n",
    "    # define the distribution of the predictions from the model and provide the sampled response features\n",
    "    Y_obs = pm.Normal('Y_obs', mu = mean, sd = sigma, observed = y_data.values[:]) # Observed values\n",
    "    \n",
    "    # specify the sampler\n",
    "    step = pm.NUTS(target_accept = 0.95) # use the No-U-Turn Sampler (NUTS) for Markov Chains Monte Carlo MCMC, addaptive step size\n",
    "\n",
    "    # Posterior distribution\n",
    "    #linear_trace_all_data = pm.sample(draws = 500, tune = 500, step = step, random_seed = seed, return_inferencedata = True)\n",
    "    linear_trace_all_data = pm.sample(draws = 500, tune = 500, step = step, random_seed = seed, \n",
    "                                      discard_tuned_samples = False,return_inferencedata=True)\n",
    " "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Summary Statistics for the Model Parameter Posterior Samples\n",
    "\n",
    "It is useful to assess the mean, dispersion and credible intervals for the model parameters.\n",
    "\n",
    "Some definitions to assist:\n",
    "\n",
    "* *HDI* - highest density interval, all points have higher probability than points outside the interval\n",
    "* *MCSE* - local Monte Carlo standard error \n",
    "* *ESS* - evolution of effective sample size, a measure of the sample size required to achive the same precision as random sampling. A measure of skewness of the distribution over time."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mean</th>\n",
       "      <th>sd</th>\n",
       "      <th>hdi_3%</th>\n",
       "      <th>hdi_97%</th>\n",
       "      <th>mcse_mean</th>\n",
       "      <th>mcse_sd</th>\n",
       "      <th>ess_bulk</th>\n",
       "      <th>ess_tail</th>\n",
       "      <th>r_hat</th>\n",
       "      <th>trace_mean</th>\n",
       "      <th>trace_sd</th>\n",
       "      <th>trace_025</th>\n",
       "      <th>trace_975</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Intercept</th>\n",
       "      <td>8.053</td>\n",
       "      <td>0.906</td>\n",
       "      <td>6.236</td>\n",
       "      <td>9.663</td>\n",
       "      <td>0.034</td>\n",
       "      <td>0.024</td>\n",
       "      <td>722.0</td>\n",
       "      <td>620.0</td>\n",
       "      <td>1.00</td>\n",
       "      <td>8.053</td>\n",
       "      <td>0.905</td>\n",
       "      <td>6.213</td>\n",
       "      <td>9.815</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>slope</th>\n",
       "      <td>0.159</td>\n",
       "      <td>0.018</td>\n",
       "      <td>0.125</td>\n",
       "      <td>0.191</td>\n",
       "      <td>0.001</td>\n",
       "      <td>0.001</td>\n",
       "      <td>661.0</td>\n",
       "      <td>615.0</td>\n",
       "      <td>1.01</td>\n",
       "      <td>0.159</td>\n",
       "      <td>0.018</td>\n",
       "      <td>0.126</td>\n",
       "      <td>0.195</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sigma</th>\n",
       "      <td>2.162</td>\n",
       "      <td>0.382</td>\n",
       "      <td>1.532</td>\n",
       "      <td>2.903</td>\n",
       "      <td>0.012</td>\n",
       "      <td>0.009</td>\n",
       "      <td>961.0</td>\n",
       "      <td>1128.0</td>\n",
       "      <td>1.00</td>\n",
       "      <td>2.162</td>\n",
       "      <td>0.382</td>\n",
       "      <td>1.559</td>\n",
       "      <td>3.035</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            mean     sd  hdi_3%  hdi_97%  mcse_mean  mcse_sd  ess_bulk  \\\n",
       "Intercept  8.053  0.906   6.236    9.663      0.034    0.024     722.0   \n",
       "slope      0.159  0.018   0.125    0.191      0.001    0.001     661.0   \n",
       "sigma      2.162  0.382   1.532    2.903      0.012    0.009     961.0   \n",
       "\n",
       "           ess_tail  r_hat  trace_mean  trace_sd  trace_025  trace_975  \n",
       "Intercept     620.0   1.00       8.053     0.905      6.213      9.815  \n",
       "slope         615.0   1.01       0.159     0.018      0.126      0.195  \n",
       "sigma        1128.0   1.00       2.162     0.382      1.559      3.035  "
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def trace_mean(x):\n",
    "    return pd.Series(np.average(x, 0), name='mean')\n",
    "\n",
    "def trace_sd(x):\n",
    "    return pd.Series(np.std(x, 0), name='sd')\n",
    "\n",
    "def trace_975(x):\n",
    "    return pd.Series(np.percentile(x, 97.5), name='97.5')\n",
    "\n",
    "def trace_025(x):\n",
    "    return pd.Series(np.percentile(x, 2.5), name='2.5')\n",
    "\n",
    "# Get the expectation / average for the model parameters from sampling the posterior distribution\n",
    "bayes_exp_intercept = pm.stats.summary(linear_trace_all_data, stat_funcs = [trace_mean]).iloc[0,0]\n",
    "bayes_exp_slope = pm.stats.summary(linear_trace_all_data, stat_funcs = [trace_mean]).iloc[1,0]\n",
    "\n",
    "pm.stats.summary(linear_trace_all_data, stat_funcs = [trace_mean, trace_sd, trace_025, trace_975])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\n",
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       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mean</th>\n",
       "      <th>sd</th>\n",
       "      <th>hdi_3%</th>\n",
       "      <th>hdi_97%</th>\n",
       "      <th>mcse_mean</th>\n",
       "      <th>mcse_sd</th>\n",
       "      <th>ess_bulk</th>\n",
       "      <th>ess_tail</th>\n",
       "      <th>r_hat</th>\n",
       "      <th>trace_mean</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Intercept</th>\n",
       "      <td>8.053</td>\n",
       "      <td>0.906</td>\n",
       "      <td>6.236</td>\n",
       "      <td>9.663</td>\n",
       "      <td>0.034</td>\n",
       "      <td>0.024</td>\n",
       "      <td>722.0</td>\n",
       "      <td>620.0</td>\n",
       "      <td>1.00</td>\n",
       "      <td>8.053</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>slope</th>\n",
       "      <td>0.159</td>\n",
       "      <td>0.018</td>\n",
       "      <td>0.125</td>\n",
       "      <td>0.191</td>\n",
       "      <td>0.001</td>\n",
       "      <td>0.001</td>\n",
       "      <td>661.0</td>\n",
       "      <td>615.0</td>\n",
       "      <td>1.01</td>\n",
       "      <td>0.159</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sigma</th>\n",
       "      <td>2.162</td>\n",
       "      <td>0.382</td>\n",
       "      <td>1.532</td>\n",
       "      <td>2.903</td>\n",
       "      <td>0.012</td>\n",
       "      <td>0.009</td>\n",
       "      <td>961.0</td>\n",
       "      <td>1128.0</td>\n",
       "      <td>1.00</td>\n",
       "      <td>2.162</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            mean     sd  hdi_3%  hdi_97%  mcse_mean  mcse_sd  ess_bulk  \\\n",
       "Intercept  8.053  0.906   6.236    9.663      0.034    0.024     722.0   \n",
       "slope      0.159  0.018   0.125    0.191      0.001    0.001     661.0   \n",
       "sigma      2.162  0.382   1.532    2.903      0.012    0.009     961.0   \n",
       "\n",
       "           ess_tail  r_hat  trace_mean  \n",
       "Intercept     620.0   1.00       8.053  \n",
       "slope         615.0   1.01       0.159  \n",
       "sigma        1128.0   1.00       2.162  "
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.stats.summary(linear_trace_all_data, stat_funcs = [trace_mean])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Diagnostic Plots\n",
    "\n",
    "For each of the model parameters, let's look at the results for the 4 Markov chains.\n",
    "\n",
    "* distributions / PDFs based on kernel density estimates (KDE) from the 1000 MCMC states\n",
    "\n",
    "* trace of the samples over each state to observe for burn-in, stuck in local minimums / sufficient variation "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1008x432 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "with linear_all_data:\n",
    "    pm.plot_trace(linear_trace_all_data, figsize = (14,6))\n",
    "\n",
    "#plt.subplots_adjust(left=0.0, bottom=0.0, right=2.0, top=1.0, wspace=0.2, hspace=0.2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Posterior Distributions\n",
    "\n",
    "We can take our 1000 states from our 4 Markov chains as samples of the posterior distributions of our Bayesian linear regresion model parameters. \n",
    "\n",
    "* once again the distributions are represented as PDFs from kernel density estimation "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "with linear_all_data:\n",
    "    pm.plot_posterior(linear_trace_all_data,hdi_prob = 0.95, figsize = (14,4))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Visualize the Credible Intervals for the Model Parameters\n",
    "\n",
    "We can visualize the credible intervals for all of the model parameters\n",
    "\n",
    "* one for each Markov chain"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "with linear_all_data:\n",
    "    pm.plot_forest(linear_trace_all_data, hdi_prob = 0.95, figsize = (14,4))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Sampling the Bayesian Regression Model\n",
    "\n",
    "We can sample from the resulting uncertainty distributions for the model parameters.\n",
    "\n",
    "* we'll sample 1000 times and visualize the reuslting models\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\pm27995\\Anaconda3\\lib\\site-packages\\pymc3\\plots\\posteriorplot.py:59: DeprecationWarning: The `plot_posterior_predictive_glm` function will migrate to Arviz in a future release. \n",
      "Keep up to date with `ArviZ <https://arviz-devs.github.io/arviz/>`_ for future updates.\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplot(111)\n",
    "plt.scatter(X_data, y_data, color='black', s = 20, alpha = 0.5, label='sample data', zorder = 3)\n",
    "pm.plot_posterior_predictive_glm(linear_trace_all_data, samples = 1000, eval=np.linspace(2, 100, 100), linewidth = 1, color = 'red', alpha = 0.02, label = 'Bayesian Posterior Models',lm = lambda x, sample: sample['Intercept'] + sample['slope'] * x, zorder = 1)\n",
    "plt.plot(X_data, bayes_exp_intercept + bayes_exp_slope*X_data, label='OLS Model', color = 'black', zorder= 2)\n",
    "plt.title('Porosity from Grainsize Bayesian Model'); plt.xlabel('Grain Size (mm)'); plt.ylabel('Porosity (%)')\n",
    "plt.xlim(0,100)#; plt.ylim(0,1500000)\n",
    "plt.subplots_adjust(left=0.0, bottom=0.0, right=2.0, top=1.0, wspace=0.2, hspace=0.2)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Posterior Prediction \n",
    "\n",
    "Let's pick a specific grain size and apply the above 1000 samples of the model to sample the Bayes posterior prediction.\n",
    "\n",
    "* note we would still need to add in the noise term, $\\sigma$, to the model samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\pm27995\\Anaconda3\\lib\\site-packages\\pymc3\\plots\\posteriorplot.py:59: DeprecationWarning: The `plot_posterior_predictive_glm` function will migrate to Arviz in a future release. \n",
      "Keep up to date with `ArviZ <https://arviz-devs.github.io/arviz/>`_ for future updates.\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "grain_size = 40\n",
    "nruns = linear_trace_all_data.posterior['slope'].shape[0]\n",
    "slopes = linear_trace_all_data.posterior['slope'].values\n",
    "intercepts = linear_trace_all_data.posterior['Intercept'].values\n",
    "sigmas = linear_trace_all_data.posterior['sigma'].values\n",
    "\n",
    "plt.subplot(121)\n",
    "plt.scatter(X_data, y_data, color='black', s = 20, alpha = 0.5, label='sample data', zorder = 3)\n",
    "pm.plot_posterior_predictive_glm(linear_trace_all_data, samples = 1000, eval=np.linspace(2, 100, 100), linewidth = 1, color = 'red', alpha = 0.02, label = 'Bayesian Posterior Models',lm = lambda x, sample: sample['Intercept'] + sample['slope'] * x, zorder = 1)\n",
    "\n",
    "plt.plot(X_data, OLS_intercept + OLS_slope*X_data, label='model', color = 'black', zorder= 2)\n",
    "plt.vlines(x = grain_size,ymin = 0, ymax = 30, label = 'OLS Prediction',colors = 'black', linestyles='--')\n",
    "plt.title('Porosity from Grainsize Bayesian Model'); plt.xlabel('Grain Size (mm)'); plt.ylabel('Porosity (%)')\n",
    "plt.xlim(0,100)#; plt.ylim(0,1500000)\n",
    "plt.subplots_adjust(left=0.0, bottom=0.0, right=2.0, top=1.0, wspace=0.2, hspace=0.2)\n",
    "plt.legend()\n",
    "\n",
    "plt.subplot(122)\n",
    "model_uncert = intercepts + slopes * grain_size\n",
    "sns.kdeplot(model_uncert.flatten(), label = 'Bayes Model Uncertainty', color = 'blue')\n",
    "bayes_prediction = intercepts + slopes * grain_size + np.random.normal(loc=0,scale=sigmas,size=[nruns,500])\n",
    "sns.kdeplot(bayes_prediction.flatten(), label = 'Bayes Posterior Prediction', color = 'black')\n",
    "plt.vlines(x = OLS_intercept + OLS_slope * grain_size,ymin = 0, ymax = 2.5, label = 'OLS Prediction',colors = 'red', linestyles='--')\n",
    "plt.xlim(0,30),plt.ylim(0,1.0)\n",
    "plt.xlabel('Porosity (%)'), plt.ylabel('Density');\n",
    "plt.title('Posterior Prediction for Grain Size = ' + str(grain_size));\n",
    "plt.subplots_adjust(left=0.0, bottom=0.0, right=2.0, top=1.0, wspace=0.2, hspace=0.2)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
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    "#### Comments\n",
    "\n",
    "This was a basic demonstration of Bayesian linear regression. Motivation to work with Bayesian methods:\n",
    "\n",
    "* work with the model parameter uncertainty distributions \n",
    "* ingrate prior information. \n",
    "\n",
    "I hope this was helpful,\n",
    "\n",
    "*Michael*\n",
    "\n",
    "Michael Pyrcz, Ph.D., P.Eng. Associate Professor The Hildebrand Department of Petroleum and Geosystems Engineering, Bureau of Economic Geology, The Jackson School of Geosciences, The University of Texas at Austin\n",
    "On twitter I'm the @GeostatsGuy.\n",
    "\n",
    "\n",
    "***\n",
    "\n",
    "#### More on Michael Pyrcz and the Texas Center for Geostatistics:\n",
    "\n",
    "### Michael Pyrcz, Associate Professor, University of Texas at Austin \n",
    "*Novel Data Analytics, Geostatistics and Machine Learning Subsurface Solutions*\n",
    "\n",
    "With over 17 years of experience in subsurface consulting, research and development, Michael has returned to academia driven by his passion for teaching and enthusiasm for enhancing engineers' and geoscientists' impact in subsurface resource development. \n",
    "\n",
    "For more about Michael check out these links:\n",
    "\n",
    "#### [Twitter](https://twitter.com/geostatsguy) | [GitHub](https://github.com/GeostatsGuy) | [Website](http://michaelpyrcz.com) | [GoogleScholar](https://scholar.google.com/citations?user=QVZ20eQAAAAJ&hl=en&oi=ao) | [Book](https://www.amazon.com/Geostatistical-Reservoir-Modeling-Michael-Pyrcz/dp/0199731446) | [YouTube](https://www.youtube.com/channel/UCLqEr-xV-ceHdXXXrTId5ig)  | [LinkedIn](https://www.linkedin.com/in/michael-pyrcz-61a648a1)\n",
    "\n",
    "#### Want to Work Together?\n",
    "\n",
    "I hope this content is helpful to those that want to learn more about subsurface modeling, data analytics and machine learning. Students and working professionals are welcome to participate.\n",
    "\n",
    "* Want to invite me to visit your company for training, mentoring, project review, workflow design and / or consulting? I'd be happy to drop by and work with you! \n",
    "\n",
    "* Interested in partnering, supporting my graduate student research or my Subsurface Data Analytics and Machine Learning consortium (co-PIs including Profs. Foster, Torres-Verdin and van Oort)? My research combines data analytics, stochastic modeling and machine learning theory with practice to develop novel methods and workflows to add value. We are solving challenging subsurface problems!\n",
    "\n",
    "* I can be reached at mpyrcz@austin.utexas.edu.\n",
    "\n",
    "I'm always happy to discuss,\n",
    "\n",
    "*Michael*\n",
    "\n",
    "Michael Pyrcz, Ph.D., P.Eng. Associate Professor The Hildebrand Department of Petroleum and Geosystems Engineering, Bureau of Economic Geology, The Jackson School of Geosciences, The University of Texas at Austin\n",
    "\n",
    "#### More Resources Available at: [Twitter](https://twitter.com/geostatsguy) | [GitHub](https://github.com/GeostatsGuy) | [Website](http://michaelpyrcz.com) | [GoogleScholar](https://scholar.google.com/citations?user=QVZ20eQAAAAJ&hl=en&oi=ao) | [Book](https://www.amazon.com/Geostatistical-Reservoir-Modeling-Michael-Pyrcz/dp/0199731446) | [YouTube](https://www.youtube.com/channel/UCLqEr-xV-ceHdXXXrTId5ig)  | [LinkedIn](https://www.linkedin.com/in/michael-pyrcz-61a648a1)\n"
   ]
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